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Ratio of females who like popcorn to the females who don't like popcorn is 2:1. If 10 females don't like popcorn, then (10 *2) 20 females like popcorn. 10+20 = 30 females altogether. 30/3= 10 males altog...

R and B are directly proportional variables. Therefore, we can write a relationship between them as R = kB where k is a proportionality constant. We can rearrange this equation to calculate the value of k...

Firstly, simplify the numerator by factorising the quadratic, to give a numerator of (3x+2)(x-1). Now, divide through by (x-1), to give (3x+2).

The compound's name is butan-2-ol: four carbons in the chain means the compound has the but- prefix; the alcohol group is on the second carbon, so the compound has the -2- suffix; and the functional group...

The chain rule can be used to find more complex derivatives.For example, in the case of: y = (5x + 2)⁵To find the derivative in the ordinary fashion, one would need to expand the brackets to:y=...